What is equation of the line tangent to the graph of y = x^3 + 3x^2 + 2 at its point of inflection?

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at…

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate

Q: What is the equation of the tangent line to the curve y = - 2x2 +5 at (-2, 13)?

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Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: Please kindly use the derivative definition to find the equation for the tangent line to y=2x2+2…

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Q: Find the slope of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: You are asked to find the equation of a horizontal tangent line to the curve y=3x3+2ex+2x. Use…

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: The slope of the tangent line to the curve y=2x^3 at the point (-4,-128) is ____. The equation of…

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Q: What is the value of the slope of the tangent line to the curve *y+y<=5 passing through the point…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

Q: Find equation of tangent y=x³-4x+1 at point (2,1)

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

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Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: What is the slope of the tangent line to the graph of the solution of y' = 7√x + 6x³ that passes…

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Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

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Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: There are two lines passing through the point (5,-1) that are tangent to the parabola y = -x^2+4x.…

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Q: Ax) = (5x* - 3x)(2x° – 7x) en x =

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Q: Find the equation of a that has a y" = 4 if it has a slope of of 3 Curve Second derivative %3D at…

A: equation of the curve  is given below...

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: Find the point on the parabola y= -X-+4 whose tangent line is parallel with y= 3x-5,

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Q: 2. What is the slope of the line tangent to the curve 8x3 –- y² = 4 at the point (1,-2)?

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Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

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Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show…

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Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

A: Let a point on the parabola is h,k. Now the slope of the tangent line is given by: m=dydxh,k Since,…

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

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Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

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Q: What is the equation of the tangent line of the function y = 2 + x² at point (3, -2)?

A: y=2+x2

Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

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Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1